Dynamic robust stabilization of stochastic differential control systems

The stabilization of stochastic differential control systems by means of dynamic feedback laws is provided. We extend the well-known Artstein–Sontag theorem to derive the necessary and sufficient conditions for the dynamic robust stabilization of stochastic differential systems. An explicit formula...

Full description

Saved in:
Bibliographic Details
Main Authors: Abedi, Fakhreddin, Leong, Wah June
Format: Article
Language:English
Published: Oxford University Press 2013
Online Access:http://psasir.upm.edu.my/id/eprint/30324/1/Dynamic%20robust%20stabilization%20of%20stochastic%20differential%20control%20systems.pdf
http://psasir.upm.edu.my/id/eprint/30324/
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The stabilization of stochastic differential control systems by means of dynamic feedback laws is provided. We extend the well-known Artstein–Sontag theorem to derive the necessary and sufficient conditions for the dynamic robust stabilization of stochastic differential systems. An explicit formula for feedback law exhibiting dynamic robust stability in probability is established, and a numerical example is also given to illustrate our results.